Topic 1: Numbers
a). Base Ten Numeration
i. Identify the place value in each digit in base ten numeration
ii. Read numbers in base ten numeration up to one billion
iii. Write numbers in base ten numeration up to one billion
iv. Apply numbers in daily life
b). Natural and Whole Number
i. Distinguish between natural and whole numbers
ii. Identify even ,odd, and prime numbers
iii. Show even , odd and prime numbers on number lines
c). Operations with Whole Numbers
i. Add whole numbers
ii. Subtract whole numbers
iii. Multiply whole numbers
iv. Divide whole numbers
v. Use the four operations in solving word problems
d). Factors And Multiples Of Numbers
i. Find factors of a number
ii. Find multiples of a number
iii. Use factors to find the greatest common factors(GCF) of numbers
e). Integers
i. Identify integers
ii. Add integers
iii. Subtract integers
iv. Multiply integers
v. Divide integers
vi. Perform mixed operations on integers
Topic 2: Fractions
a). Proper, Improper and Mixed Numbers
i. Describe a fraction
ii. Distinguish proper, improper fractions and mixed numbers
b). Comparison of Fractions
i. Simplify a fraction to its lowest terms
ii. Identify equivalent fractions
iii. Arrange fractions in order of size
c). Operations and Fractions
i. Add fractions
ii. Subtract fractions
iii. Multiply fractions
iv. Divide fractions
v. Perform mixed operations on fractions
vi. Solve word problems involving fractions
Topic 3: Decimal And Percentage
a). Decimals
i. Explain the concept of decimals
ii. Convert fractions to terminating decimals and vice versa
b). Operations and Decimals
i. Add decimals
ii. Subtract decimals
iii. Multiply decimals
iv. Perform mixed operations with decimals
v. Solve word problems involving decimals
c). Percentages
i. Express a quantity as a percentage
ii. Convert a fraction into percentage and vice versa
iii. Convert a decimal into percentage and vice versa
iv. Apply percentages in daily life
Topic 4: Units
a). Units of Length
i. Convert one unit of length to another
ii. Perform computations on metric units of length
b). Unit of Mass
i. Convert one unit of mass to another
ii. Perform computation on metric units of mass
(c). Units of Time
i. Convert one unit of time to another
ii. Read and convert unit time of 12 hour clock to 24 hour clock and vice versa
(d). Units of Capacity
i. State the standard unit of measuring capacity
ii. Use the litre in daily life
Topic 5: Approximations
a). Rounding Off Numbers
i. Round off whole numbers to given place values
ii. Round off decimals to a given number of decimal place
b). Significant Figures
i. Write a number to a given number of significant figures
c). Approximations in Calculations
i. Use the knowledge of rounding off of numbers in computations involving large numbers and small numbers
Topic 6: Geometry
a). Points and Lines
i. Explain the concept of a point
ii. Extend the concept of a point to draw a line
iii. Distinguish between a line, a line segment and a ray
b). Angles and Lines
i. Draw angles
ii. Measure angles of different size using a protractor
iii. Draw angles using a protractor
c). Constructions
i. Construct a perpendicular bisector to a line segment
ii. Construct an angle of 60° using a pair of compasses
iii. Bisect a given angle
iv. Copy a given angle by construction
v. Construct parallel lines
vi. Identify different types of angles formed by parallel lines and a transversal
d). Polygons And Regions
i. Describe a polygon and a region
ii. Construct different types of triangles
iii. Construct different quadrilaterals
e). Circles
i. Draw a circle
ii. Describe different parts of a circle
Topic 7: Algebra
a). Algebraic Operations
i. Use symbols to form algebraic expressions
ii. Simplify algebraic expressions
b). Equations with One Unknown
i. Solve an equation with one unknown
ii. Form and solve an equation from word problems
c). Equations with Two Unknowns
i. Solve simultaneous equations
ii. Solve linear simultaneous equations from practical situations
d). Inequalities
i. Solve linear inequalities in one unknown
ii. Form linear inequalities from practical situations
Topic 8: Numbers (II)
a). Rational Numbers
i. Define a rational number
ii. Perform the basic operations on rational numbers
b). Irrational Numbers
i. Define irrational numbers
c). Real Numbers
i. Define real numbers
ii. Find absolute value of real numbers
iii. Solve related practical problems
Topic 9: Ratio, Profit And Loss
a). Ratio
i. Express a ratio in its simplest form
ii. Divide a given quantity into proportional parts
b). Profits and Loss
i. Find profit or loss
ii. Calculate percentage profit and percentage profit and percentage loss
c). Simple Interest
i. Calculate simple interest
ii. Solve real life problems related to simple interest
Topic 10: Coordinate Geometry
a). Coordinates of a Point
i. Read the coordinates of a point
ii. Plot a point given its coordinates
iii. Locate a point on the coordinates
b). Gradient (Slope) of a Line
i. Calculate the gradient of a line given two points
c). Equation of a Line
i. Find the equations of a line given the coordinates of two points on a line
d). Graphs of Linear Equations
i. Form the table of value
ii. Draw the graph of a linear equation
e). Simultaneous Equations
i. Solve linear simultaneous equations graphically
Topic 11: Perimeters And Areas
a). Perimeters of Triangles and Quadrilaterals
i. Find the perimeters of triangles and quadrilaterals
b). Circumference of a Circle
i. Estimate the value of Pi ( Π)
ii. Calculate the circumference of a circle
c). Areas of Rectangles and Triangles
i. Calculate the area of a rectangle
d). Areas of Trapezium and Parallelogram
i. Calculate area of a parallelogram
ii. Calculate the area of a trapezium
e). Area of a Circle
i. Calculate areas of circle
